Abstract
An alternative calibration procedure has been applied using apparatus built in-house, created to optimize thermal conductivity measurements. The new approach compared to those of usual measurement procedures of thermal conductivity by guarded hot plate (GHP) consists of modified design of the apparatus, modified position of the temperature sensors and new conception in the calculation method, applying the temperature at the inlet section of the specimen instead of the temperature difference across the specimen. This alternative technique is suitable for eliminating the effect of thermal contact resistance arising between a rigid specimen and the heated plate, as well as accurate determination of the specimen temperature and of the heat loss at the lateral edge of the specimen. This paper presents an overview of the specific characteristics of the newly developed “high-temperature thermal conductivity measurement apparatus” based on the GHP method, as well as how the major difficulties are handled in the case of this apparatus, as compared to the common GHP method that conforms to current international standards.
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Abbreviations
- GH:
-
guarded hot plate
- HTTCMA:
-
high-temperature thermal conductivity measurement apparatus
- TCR, R :
-
thermal contact resistance
- \(\lambda \) :
-
thermal conductivity
- dQ(z) :
-
heat flow in axial direction
- dQp :
-
heat loss in radial direction
- A:
-
metering area of the heater plate
- \(t_{RS}(z)\) :
-
temperature function in the metering zone
- \(t_{RG}(z)\) :
-
temperature function in the guard zone
- tig :
-
temperature of the inner surface of the gap
- teg :
-
temperature of the outer surface of the gap
- \(\Delta \hbox {t}\) :
-
temperature drop across the specimen
- d :
-
specimen thickness
- \(t_{m}\) :
-
mean temperature of the specimen
- dt/dz :
-
temperature derivative of the specimen
- \(Pe_{MZH}\) :
-
electrical power supplied to the heater plate
- Q :
-
heat flow at the inlet section of the specimen
- Qg :
-
heat flow loss at the guard-center gap
- \(Qg_{t}\) :
-
total heat flow loss across the center-guard gap
- \(Qg_{l}\) :
-
conductive heat flow across the gap
- \(Qg_{R}\) :
-
radiative heat flow across the gap
- tis :
-
temperature of the inlet section of the specimen
- tos :
-
temperature of the outlet section of the specimen
- thp :
-
temperature of the hot plate surface
- tcp :
-
temperature of the cold plate surface
- q :
-
density of heat flow rate
- Ri :
-
TCR at inlet section of the specimen
- Ro :
-
TCR at outlet section of the specimen
References
International Standard ISO 8302:1991(E), Thermal Insulation—Determination of Steady-state Thermal Resistance and Related Properties—Guarded hot Plate Apparatus (International Organization for Standardization, Geneva, 1991)
Technical Specification CEN/TS 15548-1 :2011(E), Thermal Insulation Products for Building Equipment and Industrial Installations—Determination of Thermal Resistance by Means of the Guarded Hot Plate Method—Part 1: Measurements at elevated temperatures from \(100^ {\circ }\text{C}\) to \(850^ {\circ }\text{ C }\), (2011)
H.Y. Wong, Heat Transfer for Engineers (Longman Group Limited, London, 1983)
R. Siegel, J.R. Howell, Thermal Radiation Heat Transfer, 2nd edn. (Hemisphere Publishing Corporation, Washington, 1981)
M.A. Mihejev, A hoatadas gyakorlati szamitasanak alapjai [Practical Calculations of Heat Transfer] (Tankonyvkiado, Budapest, 1990)
M.B.H. Mantelli, M.M. Yovanovich, Heat Transfer Handbook, Thermal contact resistance (Wiley, Hoboken, 2003)
L.S. Fletcher, A1AA J. Spacecr. Rocket. 9, 849–850 (1972). doi:10.2514/3.61809
E. Turzo-Andras, Influence of thermal contact resistance in thermal conductivity measurements using guarded hot plate method, In Imeko Proceedings, (2015)
Acknowledgements
This work was funded through the European Metrology Research Programme (EMRP) Project SIB 52 “Thermo”—Metrology for Thermal Protection Materials. The EMRP is jointly funded by the EMRP participating countries within EURAMET and the European Union.
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Selected Papers of the 13th International Symposium on Temperature, Humidity, Moisture and Thermal Measurements in Industry and Science.
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Turzo-Andras, E., Magyarlaki, T. High-Temperature Thermal Conductivity Measurement Apparatus Based on Guarded Hot Plate Method. Int J Thermophys 38, 143 (2017). https://doi.org/10.1007/s10765-017-2280-0
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DOI: https://doi.org/10.1007/s10765-017-2280-0